98430748416 has 1296 divisors, whose sum is σ = 396794361600. Its totient is φ = 23247544320.

The previous prime is 98430748379. The next prime is 98430748417. The reversal of 98430748416 is 61484703489.

It is a super-2 number, since 2×98430748416² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (98430748417) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1469115615 + ... + 1469115681.

Almost surely, 2^98430748416 is an apocalyptic number.

98430748416 is a gapful number since it is divisible by the number (96) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 98430748416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198397180800).

98430748416 is an abundant number, since it is smaller than the sum of its proper divisors (298363613184).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

98430748416 is a wasteful number, since it uses less digits than its factorization.

98430748416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 98430748416 in words is "ninety-eight billion, four hundred thirty million, seven hundred forty-eight thousand, four hundred sixteen".